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Encyclopedia > Tetrakis hexahedron
Tetrakis hexahedron
Tetrakis hexahedron
(Click here for rotating model)
Type Catalan solid
Face type isosceles triangle
Faces 24
Edges 36
Vertices 14
Vertices by type 6{4}+8{6}
Face configuration V4.6.6
Symmetry group Oh
Dihedral angle 143°7'48"
Dual Truncated octahedron
Properties convex, face-transitive
Tetrakis hexahedron
Net

A tetrakis hexahedron is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated octahedron. Download high resolution version (767x737, 72 KB)Tetrakis hexahedron, made by me using POV-Ray, see image:poly. ... Spinning tetrakis hexahedron, made by me using POV-Ray, see image:poly. ... A rhombic dodecahedron In mathematics, a Catalan solid, or Archimedean dual, is a dual polyhedron to an Archimedean solid. ... In geometry, a face configuration is notational description of a face-uniform polyhedron. ... // List of symmetry groups on the sphere Spherical symmetry groups are also called point groups (in 3D). ... The octahedral rotation group O with fundamental domain Chiral and achiral octahedral symmetry are the discrete point symmetries (or equivalently, symmetries on the sphere) with the largest symmetry groups compatible with translational symmetry. ... In Aerospace engineering, the dihedral is the angle that the two wings make with each other. ... In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. ... The truncated octahedron is an Archimedean solid. ... In geometry, a polyhedron is isohedral or face-transitive when all its faces are the same. ... Image File history File links Size of this preview: 749 × 599 pixelsFull resolution‎ (1,006 × 805 pixels, file size: 50 KB, MIME type: image/png) Triakis hexahedron net See: Stella (software) File historyClick on a date/time to view the file as it appeared at that time. ... Categories: Polyhedra | Stub ... In geometry an Archimedean solid or semi-regular solid is a semi-regular convex polyhedron composed of two or more types of regular polygon meeting in identical vertices. ... A rhombic dodecahedron In mathematics, a Catalan solid, or Archimedean dual, is a dual polyhedron to an Archimedean solid. ... The truncated octahedron is an Archimedean solid. ...


It can be seen as a cube with square pyamids covering each face. This interpretation is expressed in the name. A cube[1] is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. ...


Polyhedral dice shaped like the Tetrakis hexahedron are occasionally used by gamers. Rolling dice Dice (the plural of the word die, probably from the Latin dare: to give) are, in general, small polyhedral objects with the faces marked with numbers or other symbols, thrown in order to choose one of the faces randomly. ... This article is about gamers - people who play games. ...


The Tetrakis hexahedron is the projection envelope of the 24-cell under a vertex-first perspective projection.[citation needed] In geometry, the 24-cell (or icositetrachoron) is the convex regular 4-polytope with Schläfli symbol {3,4,3}. The 24-cell is the unique convex regular 4-polytope without a good 3-dimensional analog. ... Perspective projection is a type of drawing that graphically approximates on a planar (two-dimensional) surface (e. ...


Naturally occurring (crystal) formations of tetrahexahedrons are observed in copper and fluorite systems. For other uses, see Crystal (disambiguation). ... For other uses, see Copper (disambiguation). ... Fluorite (also called fluor-spar) is a mineral composed of calcium fluoride, CaF2. ...


See also

A disdyakis triacontahedron, or hexakis icosahedron is the Catalan solid whose Archimedean dual is the truncated icosidodecahedron. ... A disdyakis dodecahedron, or hexakis octahedron, is the Catalan solid whose Archimedean dual is the truncated cuboctahedron. ... In geometry, the bisected hexagonal tiling is a tiling of the Euclidean plane. ...

References

  • Williams, Robert (1979). The Geometrical Foundation of Natural Structure: A Source Book of Design. Dover Publications, Inc. ISBN 0-486-23729-X.  (Section 3-9)

For other persons of the same name, see Williams (surname). ...

External links


  Results from FactBites:
 
Tetrakis hexahedron at AllExperts (166 words)
A tetrakis hexahedron is a Catalan solid which looks a bit like an overinflated cube.
Tetrakis hexahedra are irregular, but the faces are all the same shape.
The Tetrakis hexahedron is the projection envelope of the 24-cell under a vertex-first perspective projection.
Poliedri (4932 words)
Hence, the hexahedron is the dual of the octahedron.
The invisible core of the star polyhedron is the hexahedron; the surface of this solid is composed of 24 equilateral triangles, 14 vertices and 36 edges.
The dual of the tetrakis hexahedron is the truncated octahedron from the tetrakis hexahedron.
  More results at FactBites »


 

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